The classification of integral domains in which the relation of being an ideal is transitive

被引：20

作者：

Andruszkiewicz, RR ^{[1
]}

机构：

[1] Univ Bialystok, Math Inst, PL-15267 Bialystok, Poland

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 05期

关键词：

accessible subring; integral domain; filial ring; p-adic numbers;

D O I：

10.1081/AGB-120018987

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ring R is said to be filial when for every I, J, if I is an ideal of J and J is an ideal of R then I is an ideal of R. The complete classification and the method of construction of commutative filial domains is given.

引用

页码：2067 / 2093

页数：27

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